Finite Group Databasebeta

← #13036396

Subgroups — #13036396

Order 1280.

1034 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65692C211yesmaximal, characteristic
2C2×C4×D5⋊C8C211yesmaximal, characteristic, complemented
3#10607184C211yesmaximal, characteristic
4#10604322C211yesmaximal, characteristic, complemented
5C4⋊C4×#170C211yesmaximal, characteristic, complemented
6#10604238C211yesmaximal, characteristic, complemented
7#10604237C211yesmaximal, characteristic, complemented
8#10604234C211yesmaximal, characteristic
9C22⋊C4×#170C211yesmaximal, characteristic, complemented
10C22⋊C4×#170C211yesmaximal, characteristic, complemented
11#10604184C211yesmaximal, characteristic, complemented
12#10603788C211yesmaximal, characteristic, complemented
13#10603785C211yesmaximal, characteristic, complemented
14#10603779C211yesmaximal, characteristic, complemented
15#10603775C211yesmaximal, characteristic, complemented
16C23×#170C2211yescharacteristic
17C22×D5⋊C8C2211yescharacteristic
18C22×D5⋊C8C2211yescharacteristic
19C2×#4029C411yescharacteristic
20C2×#4027C2211yescharacteristic
21C2×C42×D5C2211yescharacteristic
22C2×C22⋊#170C2211yescharacteristic
23C2×C22⋊#170C2211yescharacteristic
24C2×C22⋊#170C2211yescharacteristic
25C2×#4004C2211yescharacteristic
26C2×#4004C2211yescharacteristic
27C2×#4003C2211yescharacteristic
28C2×#4003C2211yescharacteristic
29C2×C4⋊#170C2211yescharacteristic
30C2×C4×#170C2211yescharacteristic
31C2×C4×#170C2211yescharacteristic
32C2×C4×#170C2211yescharacteristic
33C2×C4×#170C2211yescharacteristic
34C2×C4×#170C2211yescharacteristic
35C2×C4×#170C2211yescharacteristic
36C2×C4×#170C2211yescharacteristic
37#65692—24no—
38C4×D5⋊C8—24no—
39C5×#388C411yescharacteristic
40#65278C411yescharacteristic
41C4⋊C4×Dic5C2211yescharacteristic
42#65245C411yescharacteristic
43#65233C411yescharacteristic
44C22⋊C4×Dic5C2211yescharacteristic
45C22⋊C4×Dic5C2211yescharacteristic
46#65222C411yescharacteristic
47#64955C2211yescharacteristic
48#64953C411yescharacteristic
49#64942C411yescharacteristic
50#64938C2211yescharacteristic
51#64918C2211yescharacteristic
52#64918C2211yescharacteristic
53#64918C2211yescharacteristic
54#64918C2211yescharacteristic
55#64918C2211yescharacteristic
56#64918C2211yescharacteristic
57#64918C2211yescharacteristic
58#64918C2211yescharacteristic
59#64918C2211yescharacteristic
60#64918C2211yescharacteristic
61C8×#123—51nomaximal, Sylow
62C22×C22⋊D5C2×C411yescharacteristic
63C23×Dic5C2311yescharacteristic
64C22×C4×D5C2×C411yescharacteristic
65C22×C4×D5C2×C411yescharacteristic
66C22×C4×D5C2311yescharacteristic
67C22×#170—22no—
68C22×#170—22no—
69C22×#170—22no—
70C22×#170C2311yescharacteristic
71C22×#170C2311yescharacteristic
72C22×#170C2311yescharacteristic
73C22×#170C2311yescharacteristic
74C22×#170C2311yescharacteristic
75C22×#170C2311yescharacteristic
76C22×#170C2311yescharacteristic
77C22×#170C2311yescharacteristic
78C2×D5⋊C8—22no—
79C2×D5⋊C8—22no—
80C2×D5⋊C8—22no—
81C2×D5⋊C8—22no—
82C2×D5⋊C8—22no—
83C2×D5⋊C8D414yes—
84C2×C5×C4⋊C4C2×C411yescharacteristic
85C2×C5×C22⋊C4C2×C411yescharacteristic
86C2×C5×C22⋊C4C2×C411yescharacteristic
87C2×C5×C22⋊C4C2×C411yescharacteristic
88C2×C42×C5C2×C411yescharacteristic
89C2×C22⋊Dic5C2×C411yescharacteristic
90C2×C22⋊Dic5C2×C411yescharacteristic
91C2×#685C2×C411yescharacteristic
92C2×#685C2×C411yescharacteristic
93C2×#685C2×C411yescharacteristic
94C2×C4⋊Dic5C2×C411yescharacteristic
95C2×#683C2×C411yescharacteristic
96C2×#683C2×C411yescharacteristic
97C2×#683C2×C411yescharacteristic
98C2×C4×Dic5C2×C411yescharacteristic
99C2×C4×Dic5C2311yescharacteristic
100C2×C4×Dic5C2311yescharacteristic
101C2×C4×Dic5C2311yescharacteristic
102C2×C4×Dic5C2311yescharacteristic
103C2×C4×Dic5C2311yescharacteristic
104#4029C818yescomplemented
105#4027—22no—
106#4027—22no—
107C42×D5—22no—
108C42×D5—22no—
109C22⋊#170—22no—
110C22⋊#170—22no—
111C22⋊#170—22no—
112#4004—22no—
113#4004—22no—
114#4003—22no—
115#4003—22no—
116C4⋊#170—22no—
117C4×#170—22no—
118C4×#170—22no—
119C4×#170—22no—
120C4×#170—22no—
121C4×#170—22no—
122C4×#170—22no—
123C4×#170—22no—
124C5×#95C2×C411yescharacteristic
125C5×#95C2×C411yescharacteristic
126#3963C2×C411yescharacteristic
127#3963C2×C411yescharacteristic
128#3963C2×C411yescharacteristic
129#3963C2×C411yescharacteristic
130#3963C2×C411yescharacteristic
131#3963C2×C411yescharacteristic
132#3963C2×C411yescharacteristic
133#3963C2×C411yescharacteristic
134C2×C8×D4—51no—
135C22×C4×C8—51no—
136C4×#123—51no—
137#1923—51no—
138#1923—51no—
139#1916—51no—
140#1916—51no—
141#1869—51no—
142#1850—51no—
143#1817—51no—
144C8×C4⋊C4—51no—
145C8×C4⋊C4—51no—
146C8×C22⋊C4—51no—
147C8×C22⋊C4—51no—
148C8×C22⋊C4—51no—
149C24×C5C22×C411yescharacteristic
150C23×D5C22×C411yescharacteristic
151C22×C4×C5C22×C411yescharacteristic
152C22×C4×C5C22×C411yescharacteristic
153C22×C4×C5C22×C411yescharacteristic
154C22×C4×C5C22×C411yescharacteristic
155C22×C4×C5C22×C411yescharacteristic
156C22×C4×C5C22×C411yescharacteristic
157C2×C22⋊D5—22no—
158C2×C22⋊D5—22no—
159C2×C22⋊D5C2×C814yes—
160C22×Dic5—21no—
161C22×Dic5—21no—
162C22×Dic5—21no—
163C22×Dic5—21no—
164C22×Dic5—21no—
165C22×Dic5—21no—
166C22×Dic5C22×C411yescharacteristic
167C22×Dic5C22×C411yescharacteristic
168C22×Dic5C22×C411yescharacteristic
169C22×Dic5C22×C411yescharacteristic
170C22×Dic5C22×C411yescharacteristic
171C22×Dic5C22×C411yescharacteristic
172C22×Dic5C2411yescharacteristic
173C2×C4×D5—22no—
174C2×C4×D5—22no—
175C2×C4×D5—22no—
176C2×C4×D5—22no—
177C2×C4×D5—22no—
178C2×C4×D5—21no—
179C2×C4×D5—21no—
180C2×C4×D5—21no—
181C2×C4×D5—21no—
182C2×C4×D5C2×C814yescomplemented
183C2×C4×D5C2×D412yes—
184C2×C4×D5#4112yes—
185C2×#170—21no—
186C2×#170—21no—
187C2×#170—21no—
188C2×#170—21no—
189C2×#170—21no—
190C2×#170—21no—
191C2×#170—21no—
192C2×#170—21no—
193C2×#170—21no—
194C2×#170—21no—
195C2×#170—21no—
196C2×#170—21no—
197C2×#170—21no—
198C2×#170—21no—
199C2×#170—21no—
200C2×#170—21no—
201C2×#170—21no—
202C2×#170—21no—
203C2×#170—44no—
204C2×#170C2×D412yes—
205C2×#170C2×D412yes—
206C2×#170#4112yes—
207C2×#170#4112yes—
208C2×#170#4112yes—
209C2×#170#4112yes—
210D5⋊C8—28no—
211D5⋊C8—28no—
212C5×C4⋊C4—22no—
213C5×C22⋊C4—22no—
214C5×C22⋊C4—22no—
215C5×C22⋊C4C2×C814yescomplemented
216C42×C5—22no—
217C22⋊Dic5—22no—
218C22⋊Dic5C2×C814yescomplemented
219#685—22no—
220#685—22no—
221#685C2×C814yescomplemented
222C4⋊Dic5C2×C814yescomplemented
223#683—22no—
224#683—22no—
225#683C2×C814yescomplemented
226C4×Dic5—22no—
227C4×Dic5—21no—
228C4×Dic5—21no—
229C4×Dic5—21no—
230C4×Dic5—21no—
231C4×Dic5—21no—
232C4×Dic5—21no—
233C4×Dic5—21no—
234C4×Dic5—21no—
235C4×Dic5—21no—
236C4×Dic5—21no—
237C23×C8—51no—
238C23×C8—51no—
239C23×C8—51no—
240C2×#123—51no—
241C2×C4×D4—51no—
242C22×C42—51no—
243C8×D4—104no—
244C2×C4⋊C8—51no—
245C2×C4⋊C8—51no—
246C2×C4⋊C8—51no—
247C2×C22⋊C8—51no—
248C2×C22⋊C8—51no—
249C2×C22⋊C8—51no—
250C2×C22⋊C8—51no—
251C2×C22⋊C8—51no—
252C2×C4×C8—51no—
253C2×C4×C8—51no—
254C2×C4×C8—51no—
255C2×C4×C8—51no—
256C2×C4×C8—51no—
257C2×C4×C8—51no—
258C2×C4×C8—51no—
259C2×C4×C8—104no—
260#388—51no—
261#388AGL(1,𝔽5)11yescharacteristic
262#387—51no—
263#387—51no—
264#386—51no—
265#385—51no—
266#381—51no—
267C4×C4⋊C4—51no—
268C4×C4⋊C4—51no—
269C4×C22⋊C4—51no—
270C4×C22⋊C4—51no—
271C4×C22⋊C4—51no—
272#336—51no—
273#336—51no—
274#336—51no—
275#336—51no—
276#336—51no—
277#336—51no—
278#336—51no—
279#336—51no—
280#336—51no—
281#336—51no—
282C23×C5—21no—
283C23×C5—21no—
284C23×C5—21no—
285C23×C5—21no—
286C23×C5—21no—
287C23×C5—21no—
288C23×C5C22×C812yes—
289C23×C5C23×C411yescharacteristic
290C22×D5—21no—
291C22×D5—21no—
292C22×D5—21no—
293C22×D5—21no—
294C22×D5C4×D412yes—
295C22×D5C22×C812yes—
296C22×D5#13112yes—
297C2×C4×C5—21no—
298C2×C4×C5—21no—
299C2×C4×C5—21no—
300C2×C4×C5—21no—
301C2×C4×C5—21no—
302C2×C4×C5—21no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—21no—
306C2×C4×C5—21no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—21no—
310C2×C4×C5—21no—
311C2×C4×C5C4×D412yes—
312C2×C4×C5C22×C812yes—
313C2×C4×C5C22×C812yes—
314C2×C4×C5#13112yes—
315C22⋊D5—28no—
316C2×Dic5—21no—
317C2×Dic5—21no—
318C2×Dic5—21no—
319C2×Dic5—21no—
320C2×Dic5—21no—
321C2×Dic5—21no—
322C2×Dic5—21no—
323C2×Dic5—21no—
324C2×Dic5—21no—
325C2×Dic5—21no—
326C2×Dic5—21no—
327C2×Dic5—21no—
328C2×Dic5—21no—
329C2×Dic5—21no—
330C2×Dic5—41no—
331C2×Dic5—41no—
332C2×Dic5—41no—
333C2×Dic5—41no—
334C2×Dic5C22×C812yes—
335C2×Dic5C22×C812yes—
336C2×Dic5C22×C812yes—
337C2×Dic5#13112yes—
338C2×Dic5C22×D411yescharacteristic
339C2×Dic5C2×#4111yescharacteristic
340C2×Dic5C2×#4111yescharacteristic
341C2×Dic5C2×#4111yescharacteristic
342C2×Dic5C2×#4111yescharacteristic
343C2×Dic5C2×#4111yescharacteristic
344C4×D5—28no—
345C4×D5—28no—
346C4×D5—22no—
347C4×D5—22no—
348C4×D5—22no—
349C4×D5—22no—
350#170—22no—
351#170—22no—
352#170—22no—
353#170—41no—
354#170—41no—
355#170—41no—
356#170—41no—
357#170#12314yescomplemented
358C22×D4—51no—
359C23×C4—51no—
360C23×C4—51no—
361C23×C4—51no—
362C23×C4—51no—
363C22×C8—51no—
364C22×C8—54no—
365C22×C8—51no—
366C22×C8—51no—
367C22×C8—51no—
368C22×C8—51no—
369C22×C8—51no—
370C22×C8—51no—
371C22×C8—51no—
372C22×C8—102no—
373C22×C8—102no—
374C22×C8—102no—
375C22×C8—102no—
376C22×C8—102no—
377C22×C8—102no—
378C22×C8—102no—
379C22×C8—102no—
380#123—58no—
381C4×D4—102no—
382C4×D4—102no—
383C2×C4⋊C4—51no—
384C2×C4⋊C4—51no—
385C2×C4⋊C4—51no—
386C2×C4⋊C4—51no—
387C2×C4⋊C4C2×AGL(1,𝔽5)11yescharacteristic
388C2×C22⋊C4—51no—
389C2×C22⋊C4—51no—
390C2×C22⋊C4—51no—
391C2×C22⋊C4—51no—
392C2×C22⋊C4—51no—
393C2×C22⋊C4C2×AGL(1,𝔽5)11yescharacteristic
394C2×C22⋊C4C2×AGL(1,𝔽5)11yescharacteristic
395C2×C22⋊C4C2×AGL(1,𝔽5)11yescharacteristic
396C2×C42—51no—
397C2×C42—51no—
398C2×C42—51no—
399C2×C42—51no—
400C2×C42—51no—
401C2×C42—51no—
402C2×C42—102no—
403C2×C42—102no—
404C2×C42C2×AGL(1,𝔽5)11yescharacteristic
405C4⋊C8—102no—
406C4⋊C8—102no—
407C4⋊C8—102no—
408C22⋊C8—102no—
409C22⋊C8—102no—
410C22⋊C8—102no—
411C22⋊C8—102no—
412C22⋊C8—102no—
413C4×C8—102no—
414C4×C8—102no—
415C4×C8—102no—
416C4×C8—102no—
417C4×C8—102no—
418C4×C8—102no—
419C4×C8—102no—
420#95—51no—
421#95—51no—
422#95—51no—
423#95—51no—
424#95—51no—
425#95—51no—
426#95—51no—
427#95—51no—
428#95C2×AGL(1,𝔽5)11yescharacteristic
429#95C2×AGL(1,𝔽5)11yescharacteristic
430C22×C5—22no—
431C22×C5—22no—
432C22×C5—22no—
433C22×C5—41no—
434C22×C5—41no—
435C22×C5—41no—
436C22×C5—41no—
437C22×C5C2×C4×D411yescharacteristic
438C22×C5C4×#4111yescharacteristic
439C22×C5C4×#4111yescharacteristic
440C22×C5C23×C811yescharacteristic
441C22×C5C2×#13111yescharacteristic
442C22×C5C2×#13111yescharacteristic
443C22×C5C2×#13111yescharacteristic
444C2×D5—22no—
445C2×D5—22no—
446C2×D5—22no—
447C2×D5—22no—
448C2×D5—22no—
449C2×D5—22no—
450C2×D5C8×D414yes—
451C4×C5—22no—
452C4×C5—22no—
453C4×C5—22no—
454C4×C5—22no—
455C4×C5—41no—
456C4×C5—41no—
457Dic5—22no—
458Dic5—22no—
459Dic5—22no—
460Dic5—22no—
461Dic5—41no—
462Dic5—41no—
463Dic5C2×#12311yescharacteristic
464Dic5#52511yescharacteristic
465Dic5#52911yescharacteristic
466Dic5#52911yescharacteristic
467C24—51no—
468C24C22×AGL(1,𝔽5)11yescharacteristic
469C2×D4—54no—
470C2×D4—102no—
471C2×D4—102no—
472C22×C4—51no—
473C22×C4—51no—
474C22×C4—51no—
475C22×C4—51no—
476C22×C4—51no—
477C22×C4—54no—
478C22×C4—52no—
479C22×C4—52no—
480C22×C4—51no—
481C22×C4—51no—
482C22×C4—101no—
483C22×C4—101no—
484C22×C4—101no—
485C22×C4—101no—
486C22×C4—102no—
487C22×C4—102no—
488C22×C4—102no—
489C22×C4—102no—
490C22×C4—101no—
491C22×C4—101no—
492C22×C4—101no—
493C22×C4—101no—
494C22×C4—101no—
495C22×C4—101no—
496C22×C4—102no—
497C22×C4C22×AGL(1,𝔽5)11yescharacteristic
498C22×C4C22×AGL(1,𝔽5)11yescharacteristic
499C22×C4C22×AGL(1,𝔽5)11yescharacteristic
500C22×C4C22×AGL(1,𝔽5)11yescharacteristic
501C22×C4C22×AGL(1,𝔽5)11yescharacteristic
502C22×C4C22×AGL(1,𝔽5)11yescharacteristic
503C2×C8—52no—
504C2×C8—52no—
505C2×C8—52no—
506C2×C8—52no—
507C2×C8—52no—
508C2×C8—52no—
509C2×C8—108no—
510C2×C8—101no—
511C2×C8—101no—
512C2×C8—101no—
513C2×C8—101no—
514C2×C8—101no—
515C2×C8—101no—
516C2×C8—108no—
517C2×C8—101no—
518C2×C8—101no—
519C2×C8—101no—
520C2×C8—101no—
521C2×C8—101no—
522C2×C8—101no—
523C2×C8—101no—
524C2×C8—101no—
525C2×C8—101no—
526C2×C8—101no—
527C2×C8—101no—
528C2×C8—101no—
529C2×C8—204no—
530C4⋊C4—22no—
531C4⋊C4—54no—
532C4⋊C4—54no—
533C4⋊C4—102no—
534C4⋊C4—102no—
535C22⋊C4—22no—
536C22⋊C4—22no—
537C22⋊C4—54no—
538C22⋊C4—54no—
539C22⋊C4—102no—
540C22⋊C4—102no—
541C22⋊C4—102no—
542C22⋊C4D5⋊C814yescomplemented
543C42—22no—
544C42—101no—
545C42—101no—
546C42—101no—
547C42—101no—
548C42—101no—
549C42—101no—
550C42—101no—
551C42—101no—
552C42—101no—
553C42—101no—
554C42—102no—
555C2×C5—42no—
556C2×C5C4×#12311yescharacteristic
557C2×C5C2×C8×D411yescharacteristic
558C2×C5#292911yescharacteristic
559C2×C5C8×#4111yescharacteristic
560C2×C5C8×#4111yescharacteristic
561C2×C5#296611yescharacteristic
562C2×C5#296611yescharacteristic
563D5—24no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—52no—
571C23—52no—
572C23—52no—
573C23—101no—
574C23—101no—
575C23—101no—
576C23—101no—
577C23C2×D5⋊C812yes—
578C23C23×AGL(1,𝔽5)11yescharacteristic
579D4—108no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—51no—
595C2×C4—51no—
596C2×C4—51no—
597C2×C4—51no—
598C2×C4—51no—
599C2×C4—51no—
600C2×C4—52no—
601C2×C4—52no—
602C2×C4—52no—
603C2×C4—52no—
604C2×C4—102no—
605C2×C4—102no—
606C2×C4—102no—
607C2×C4—102no—
608C2×C4—108no—
609C2×C4—108no—
610C2×C4—101no—
611C2×C4—101no—
612C2×C4—101no—
613C2×C4—101no—
614C2×C4—101no—
615C2×C4—101no—
616C2×C4—101no—
617C2×C4—101no—
618C2×C4—101no—
619C2×C4—101no—
620C2×C4—101no—
621C2×C4—101no—
622C2×C4—101no—
623C2×C4—101no—
624C2×C4—201no—
625C2×C4—201no—
626C2×C4—201no—
627C2×C4—201no—
628C2×C4C2×D5⋊C812yes—
629C2×C4C2×D5⋊C812yes—
630C2×C4#413112yes—
631C2×C4D4×AGL(1,𝔽5)12yes—
632C8—54no—
633C8—102no—
634C8—102no—
635C8—102no—
636C8—201no—
637C8—201no—
638C8—201no—
639C8—201no—
640C5C8×#12311yescharacteristic, complemented, Sylow
641C22—22no—
642C22—22no—
643C22—22no—
644C22—41no—
645C22—41no—
646C22—41no—
647C22—41no—
648C22—54no—
649C22—102no—
650C22—102no—
651C22—102no—
652C22—102no—
653C22—102no—
654C22—102no—
655C22C22×D5⋊C811yescharacteristic
656C22C2×#413111yescharacteristic
657C22C2×D4×AGL(1,𝔽5)11yescharacteristic
658C22D5⋊#13111yescharacteristic
659C22D5⋊#13111yescharacteristic
660C22#41×AGL(1,𝔽5)11yescharacteristic
661C22#41×AGL(1,𝔽5)11yescharacteristic
662C4—22no—
663C4—22no—
664C4—22no—
665C4—22no—
666C4—41no—
667C4—41no—
668C4—51no—
669C4—51no—
670C4—51no—
671C4—51no—
672C4—102no—
673C4—102no—
674C4—102no—
675C4—102no—
676C4—201no—
677C4—201no—
678C2—42no—
679C2—104no—
680C2#1061711411yescharacteristic
681C2D4×D5⋊C811yescharacteristic
682C2#1061715311yescharacteristic
683C2#1061722511yescharacteristic
684C2AGL(1,𝔽5)×#12311yescharacteristic
685C2#1061731211yescharacteristic
686C2#1061734911yescharacteristic
subgroupG/H
center, FrattiniC23C23×AGL(1,𝔽5)
commutatorC22×C5C23×C8
FittingC5×#388C4
socleC23×C5C23×C4
prime radicalC22×C22⋊D5C2×C4
cosocleC22×Dic5C24
hypercenter#388AGL(1,𝔽5)
hypocenterC5C8×#123
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ #388

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×C4×D5⋊C8C2semidirect
4. #10604322C2semidirect
5. C4⋊C4×#170C2semidirect
6. #10604238C2semidirect
7. #10604237C2semidirect
9. C22⋊C4×#170C2semidirect
10. C22⋊C4×#170C2semidirect
11. #10604184C2semidirect
12. #10603788C2semidirect
13. #10603785C2semidirect
14. #10603779C2semidirect
15. #10603775C2semidirect
104. #4029C8semidirect
182. C2×C4×D5C2×C8semidirect
215. C5×C22⋊C4C2×C8semidirect
218. C22⋊Dic5C2×C8semidirect
221. #685C2×C8semidirect
222. C4⋊Dic5C2×C8semidirect
225. #683C2×C8semidirect
357. #170#123semidirect
542. C22⋊C4D5⋊C8semidirect
640. C5C8×#123semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#656922
C2×C4×D5⋊C82
#106071842
#106043222
C4⋊C4×#1702
#106042382
#106042372
#106042342
C22⋊C4×#1702
#106041842
#106037882
#106037852
#106037792
#106037752
C8×#1235